MTH603 Quiz 1 Solution and Discussion

[zareen]

Richardson extrapolation is method also known as ………… MTH603
Sequence acceleration method
Series acceleration method

[zareen]

3rd

[zareen]

In Newton-Cotes formula for finding the definite integral of a tabular function, which of the following is taken as an approximate function then find the desired integral? MTH603

Trigonometric Function

Exponential Function

Logarithmic Function

Polynomial Function Page=166

[zareen]

While using the Composite Trapezoidal form for integrating y = f(x) in [0,10] which is subdivided in equally spaced interval of width ‘h =2’, then which of the following is the area of associated trapezoidal strip over subinterval:[2,4] ? MTH603
(y2 + y4)/2
(y2 + y4)
(y2 - y4)/2
(y2 - y4)

[zareen]

[zareen]

For a function ‘f(x) = x’, with a step size of ‘h=0.01’, which of the following gives the 1st derivative at x =1 by using two point formula? MTH603

Y’=(x)=1+Some truncation Error

Y’=(x)=1.01+Some truncation Error

Y’=(x)=.0.1+Some truncation Error

Y’=(x)=0.1+Some truncation Error

[zareen]

[zareen]

To improve the accuracy of the derivative of the function, which of the following method is more helpful? MTH603

Extrapolation
Interpolation
Divided difference
Central difference